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Finding the Fourth Proportional to 30,136.50, 41,587.22 and 16,707.98

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Solution

The fourth proportional to 30,136.50, 41,587.22 and 16,707.98 is: 23,056.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,136.50 : 41,587.22 = 16,707.98 : x
  2. Step 2: Convert to fraction form
    30,136.50/41,587.22 = 16,707.98/x
  3. Step 3: Cross multiply
    30,136.50x = 41,587.22 × 16,707.98
  4. Step 4: Simplify right side
    30,136.50x = 694,838,585.75
  5. Step 5: Solve for x
    x = 694,838,585.75/30,136.50
  6. Step 6: Final answer
    x = 23,056.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.